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Attorney General Martha Coakley raised more than $1 million over the past six weeks for her US Senate campaign, bringing her total haul for the race to $5.2 million, her campaign reported yesterday. The campaign of her rival, state Senator Scott Brown, said it raised $700,000 during the same period, much of it on the Internet, for a total of $1.2 million.

Coakley, who faced three opponents in the Democratic primary, started the special election campaign with less than $500,000 in her campaign account, compared with about $300,000 for Brown, a Republican of Wrentham.

Coakley raised the $1 million between Nov. 20 and Dec. 31. The campaign did not release donor lists, say how much money the campaign spent over that period, or reveal how much it has in the bank to begin the new year. Those details must be included in information that has to be submitted next week to the Federal Election Commission.

“I am humbled by the incredible show of support, especially over the busy holiday season, from our contributors as well as the thousands of volunteers who have given their time and energy to this campaign,’’ Coakley said.

Eric Fehrnstrom, an adviser for Brown, said many of the Republican’s donations were coming in small dollar amounts from the Internet, with about 30 percent from out of state.

“There’s been a surge of online fund-raising as people begin to focus on this race and understand that the next senator from Massachusetts will cast a crucial vote on the health care bill,’’ Fehrnstrom said. “Martha Coakley will vote for it, and Scott Brown will vote against it.’’

Brown has conceded that Coakley will probably surpass him in the fund-raising battle. Coakley has access to a large national fund-raising network, in part through EMILY’s List, the abortion rights advocacy group that supports Democratic female candidates.

Coakley has had few campaign events since winning the Dec. 8 Democratic primary, and has yet to air television ads. Brown has been campaigning at a rapid clip and ran his first TV spot Wednesday.